Compute the optimal solution if it exists


Problem

Dr. C wants to invest in two projects, A and B. The total investment budget is $100. He does not want to invest more than $40 in project A. The investment goal is the maximization of satisfaction measured as the product of the amount invested in projects A and B. (i) Does this problem have a maximum? Give an argument to support your answer and (ii) compute the optimal solution, if it exists.

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Computer Engineering: Compute the optimal solution if it exists
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